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Volumn 57, Issue PART 1, 1997, Pages 89-120

On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FLOW OF FLUIDS; MAGNETIC FIELDS; PLASMAS; STABILITY; VORTEX FLOW;

EID: 0030673252     PISSN: 00223778     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022377896005272     Document Type: Article
Times cited : (22)

References (15)
  • 1
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    • Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow
    • Almaguer, J. A., Hameiri, E., Herrera, J. and Holm, D. D. 1988 Lyapunov stability analysis of magnetohydrodynamic plasma equilibria with axisymmetric toroidal flow. Phys. Fluids 31, 1930-1939.
    • (1988) Phys. Fluids , vol.31 , pp. 1930-1939
    • Almaguer, J.A.1    Hameiri, E.2    Herrera, J.3    Holm, D.D.4
  • 2
    • 0001143780 scopus 로고
    • On the conditions of nonlinear stability of plane curvilinear flows of an ideal fluid
    • Arnold, V. I. 1965a On the conditions of nonlinear stability of plane curvilinear flows of an ideal fluid. Dokl. Acad. Nauk SSSR 162, 975-978 (English translation: Soviet Math. 6, 773-777).
    • (1965) Dokl. Acad. Nauk SSSR , vol.162 , pp. 975-978
    • Arnold, V.I.1
  • 3
    • 0001687530 scopus 로고    scopus 로고
    • English translation
    • Arnold, V. I. 1965a On the conditions of nonlinear stability of plane curvilinear flows of an ideal fluid. Dokl. Acad. Nauk SSSR 162, 975-978 (English translation: Soviet Math. 6, 773-777).
    • Soviet Math. , vol.6 , pp. 773-777
  • 4
    • 0000308199 scopus 로고
    • A variational principle for three-dimensional steady flows of an ideal fluid
    • transl. from Russian
    • Arnold, V. I. 1965b A variational principle for three-dimensional steady flows of an ideal fluid. J. Appl. Math. Mech. 29, 1002-1008 (transl. from Russian).
    • (1965) J. Appl. Math. Mech. , vol.29 , pp. 1002-1008
    • Arnold, V.I.1
  • 6
    • 0000325381 scopus 로고
    • A powerful shear instability in weakly magnetized disks. I. Linear analysis
    • Balbus, S. A. and Hawley, J. F. 1991 A powerful shear instability in weakly magnetized disks. I. Linear analysis. Astrophys. J. 376, 214-222.
    • (1991) Astrophys. J. , vol.376 , pp. 214-222
    • Balbus, S.A.1    Hawley, J.F.2
  • 7
    • 84918387201 scopus 로고
    • On the hydrodynamic and hydromagnetic stability of swirling flows
    • Howard, L. N. and Gupta, A. S. 1962 On the hydrodynamic and hydromagnetic stability of swirling flows. J. Fluid Mech. 14, 463-476.
    • (1962) J. Fluid Mech. , vol.14 , pp. 463-476
    • Howard, L.N.1    Gupta, A.S.2
  • 8
    • 0014441553 scopus 로고
    • The degree of knottedness of tangled vortex lines
    • Moffatt, H. K. 1969 The degree of knottedness of tangled vortex lines. J. Fluid Mech. 35, 117-129.
    • (1969) J. Fluid Mech. , vol.35 , pp. 117-129
    • Moffatt, H.K.1
  • 9
    • 0001361126 scopus 로고    scopus 로고
    • The non-axisymmetric instability of a cylindrical shear flow containing an azimuthal magnetic field
    • Ogilvie, G. I. and Pringle, J. E. 1996 The non-axisymmetric instability of a cylindrical shear flow containing an azimuthal magnetic field. Mon. Not. R. Astron. Soc. 279, 152-164.
    • (1996) Mon. Not. R. Astron. Soc. , vol.279 , pp. 152-164
    • Ogilvie, G.I.1    Pringle, J.E.2
  • 10
    • 0001620581 scopus 로고
    • On the dynamics of revolving fluids
    • also Scientific Papers 6, 447
    • Rayleigh, Lord 1916 On the dynamics of revolving fluids. Proc. R. Soc. Lond. A93, 148-154 (also Scientific Papers 6, 447).
    • (1916) Proc. R. Soc. Lond. , vol.A93 , pp. 148-154
    • Rayleigh, L.1
  • 11
    • 0027464079 scopus 로고
    • Invariants of dissipationless hydrodynamic media
    • Tur, A. V. and Yanovsky, V. V. 1993 Invariants of dissipationless hydrodynamic media. J. Fluid Mech. 248, 67-106.
    • (1993) J. Fluid Mech. , vol.248 , pp. 67-106
    • Tur, A.V.1    Yanovsky, V.V.2
  • 12
    • 0022063468 scopus 로고
    • Analogy between density stratification and rotation effects
    • transl. from Russian
    • Vladimirov, V. A. 1985a Analogy between density stratification and rotation effects. J. Appl. Mech. Tech. Phys. 26, 353-362 (transl. from Russian).
    • (1985) J. Appl. Mech. Tech. Phys. , vol.26 , pp. 353-362
    • Vladimirov, V.A.1
  • 13
    • 0042619176 scopus 로고
    • An example of the equivalence between density stratification and rotation
    • transl. from Russian
    • Vladimirov, V. A. 1985b An example of the equivalence between density stratification and rotation. Soviet Phys. Dokl 30, 748-750 (transl. from Russian).
    • (1985) Soviet Phys. Dokl , vol.30 , pp. 748-750
    • Vladimirov, V.A.1
  • 14
    • 0028992011 scopus 로고
    • On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part I. Fundamental principles
    • Vladimirov, V. A. and Moffatt, H. K. 1995 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part I. Fundamental principles. J. Fluid Mech. 283, 125-139.
    • (1995) J. Fluid Mech. , vol.283 , pp. 125-139
    • Vladimirov, V.A.1    Moffatt, H.K.2
  • 15
    • 0030484006 scopus 로고    scopus 로고
    • On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part II. Stability criteria for two-dimensional flows
    • Vladimirov, V. A., Moffatt, H. K. and Ilin, K. I. 1996 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part II. Stability criteria for two-dimensional flows. J. Fluid Mech. 329, 187-205.
    • (1996) J. Fluid Mech. , vol.329 , pp. 187-205
    • Vladimirov, V.A.1    Moffatt, H.K.2    Ilin, K.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.